Mathematical Modeling of the Consumer Loan Market in Russia under Sanctions

Abstract The article develops and investigates a new model for the formation of interest rates on consumer loans based on an analysis of commercial interests and the logic of behavior of commercial banks. The model assumes that the borrowers’ incomes are described by a geometric Brownian motion. Commercial banks assess the default risk of borrowers. According to the Feynman–Kac formula, the assessment is reduced to solving a boundary value problem for partial differential equations. An analytical solution to this problem is constructed. The model is used to analyze the problem of maintaining consumer credit under the current conditions as a mechanism for social adaptation of households.

Авторы
Shananin A.A. 1 , Trusov N.V.
Журнал
Номер выпуска
3
Страницы
467-474
Статус
Опубликовано
Том
106
Год
2022
Организации
  • 1 Росcийский университет дружбы народов
Ключевые слова
Ramsey model, consumer loan, Feynman–Kac formula, mathematical modeling
Дата создания
21.04.2023
Дата изменения
21.04.2023
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/93452/
Поделиться

Другие записи

Tamrazova O.B., Zanegina T.P., Nikitaev V.G., Pronichev A.N., Solomatin M.A., Voronin A.E., Arkhangelskaya I.V., Soshnina A.V., Petukhova A.I., Bagnova P.Yu., Sergeev V.Yu., Sergeev Yu.Yu.
Physics of Atomic Nuclei. Том 85. 2022. С. 1951-1955